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Traveling wave solutions of saturated‐unsaturated flow through porous media
Author(s) -
Nakano Yoshisuke
Publication year - 1980
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr016i001p00117
Subject(s) - porous medium , flow (mathematics) , singularity , space (punctuation) , mechanics , order (exchange) , porosity , flux (metallurgy) , vadose zone , traveling wave , integer (computer science) , mathematics , thermodynamics , physics , mathematical analysis , materials science , geotechnical engineering , geology , groundwater , computer science , finance , economics , metallurgy , programming language , operating system
Traveling wave solutions to the problem of saturated‐unsaturated flow of water through a uniform porous medium are derived, and the regularity properties of the solutions are studied. It is found that a singularity occurs in the higher‐order derivatives of flux with respect to the space coordinate in the solutions at water tables and that the water tables can be generally interpreted as propagating acceleration waves of the n th order, where n is a positive integer.